{"id":"https://openalex.org/W2006043132","doi":"https://doi.org/10.1007/s10915-013-9799-4","title":"A New Error Analysis of Crank\u2013Nicolson Galerkin FEMs for a Generalized Nonlinear Schr\u00f6dinger Equation","display_name":"A New Error Analysis of Crank\u2013Nicolson Galerkin FEMs for a Generalized Nonlinear Schr\u00f6dinger Equation","publication_year":2013,"publication_date":"2013-11-07","ids":{"openalex":"https://openalex.org/W2006043132","doi":"https://doi.org/10.1007/s10915-013-9799-4","mag":"2006043132"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-013-9799-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9799-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024180528","display_name":"Jilu Wang","orcid":"https://orcid.org/0009-0001-9468-249X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Jilu Wang","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong","\u2020Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"\u2020Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024180528"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":5.3294,"has_fulltext":false,"cited_by_count":182,"citation_normalized_percentile":{"value":0.95650204,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"60","issue":"2","first_page":"390","last_page":"407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8693519830703735},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.8504298329353333},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5988014340400696},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.583602249622345},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5777512788772583},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5492210984230042},{"id":"https://openalex.org/keywords/error-analysis","display_name":"Error analysis","score":0.5454282760620117},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49790096282958984},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4490705728530884},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.44364044070243835},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3673948645591736},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13819772005081177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8693519830703735},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.8504298329353333},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5988014340400696},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.583602249622345},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5777512788772583},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5492210984230042},{"id":"https://openalex.org/C3018824978","wikidata":"https://www.wikidata.org/wiki/Q2894891","display_name":"Error analysis","level":2,"score":0.5454282760620117},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49790096282958984},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4490705728530884},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.44364044070243835},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3673948645591736},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13819772005081177},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-013-9799-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-013-9799-4","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W99776242","https://openalex.org/W141367041","https://openalex.org/W1963571299","https://openalex.org/W1964889245","https://openalex.org/W1967868847","https://openalex.org/W1970564873","https://openalex.org/W1973929353","https://openalex.org/W1987605104","https://openalex.org/W1990238499","https://openalex.org/W1995151111","https://openalex.org/W2002985342","https://openalex.org/W2009837750","https://openalex.org/W2012437014","https://openalex.org/W2015186260","https://openalex.org/W2019471783","https://openalex.org/W2020266362","https://openalex.org/W2020279670","https://openalex.org/W2022432957","https://openalex.org/W2022599288","https://openalex.org/W2034375840","https://openalex.org/W2044303123","https://openalex.org/W2058992888","https://openalex.org/W2066458712","https://openalex.org/W2066944044","https://openalex.org/W2069737353","https://openalex.org/W2081562904","https://openalex.org/W2082621526","https://openalex.org/W2095179029","https://openalex.org/W2134275136","https://openalex.org/W2143619815","https://openalex.org/W2523474032","https://openalex.org/W2963812646","https://openalex.org/W3100645514","https://openalex.org/W4242273588"],"related_works":["https://openalex.org/W4223970227","https://openalex.org/W4382021032","https://openalex.org/W2026628742","https://openalex.org/W940193414","https://openalex.org/W2903909398","https://openalex.org/W2126858039","https://openalex.org/W2101135948","https://openalex.org/W2031026647","https://openalex.org/W2095507327","https://openalex.org/W2705221988"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":13},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":24},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}